168742332822000 has 1600 divisors, whose sum is σ = 644989003776000. Its totient is φ = 37947755059200.

The previous prime is 168742332821917. The next prime is 168742332822001. The reversal of 168742332822000 is 228233247861.

168742332822000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168742332822001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 272604737691 + ... + 272604738309.

It is an arithmetic number, because the mean of its divisors is an integer number (403118127360).

Almost surely, 2^{168742332822000} is an apocalyptic number.

168742332822000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168742332822000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322494501888000).

168742332822000 is an abundant number, since it is smaller than the sum of its proper divisors (476246670954000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

168742332822000 is a wasteful number, since it uses less digits than its factorization.

168742332822000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 168742332822000 in words is "one hundred sixty-eight trillion, seven hundred forty-two billion, three hundred thirty-two million, eight hundred twenty-two thousand".